I just went through the same thing myself when setting up my drip irrigation system. It's actually pretty easy.
The formula is as follows:
Pr = 96.25 x Total GPM of all emitters (gal/min)
-------------------------------------------
Total area (ft²)
Where Pr
is the "precipitation" rate in inches/hour.
To make it more clear, I'll take an example from my own garden. I have 6 slicing tomato plants planted in roughly an 18' x 3' area. I have 2 sections of drip tubing that stretch on either side of the plants which provide a total of 29 0.9 gal/hour (GPH) emitters within that area. I also have an additional single 1 GPH emitter for each plant.
So, to find the Total GPM of all emitters (gal/min)
I do the following:
29 x 0.9 gal/hr = 26.1 gal/hr
6 x 1.0 gal/hr = 6 gal/hr
26.1 gal/hr + 6 gal/hr = 32.1 gal/hr
To get gal/min
, divide by 60:
32.1 gal/hr / 60 = 0.535 gal/min
So, plug that into the equation and you get
Pr = 96.25 x 0.535 gal/min
---------------------
18 x 3
So, Pr
= 51.5 / 54 or .954
inches/hour
Let's say I want to give them 2 inches of water per week. At 0.954 in/hr, I'd need to water a total of 2.097 hours, or 126 minutes per week.
I compared this calculated method to an actual physical test (held tub underneath 2 of the drip tape emitters for 30 minutes), and it's pretty much dead on.
I highly recommend setting this up as a spreadsheet with columns for width and length, and then columns for the quantities of each speed emitter you have.